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Finding the Fourth Proportional to 187,203.65, 280,647.53 and 87,311.21

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Solution

The fourth proportional to 187,203.65, 280,647.53 and 87,311.21 is: 130,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,203.65 : 280,647.53 = 87,311.21 : x
  2. Step 2: Convert to fraction form
    187,203.65/280,647.53 = 87,311.21/x
  3. Step 3: Cross multiply
    187,203.65x = 280,647.53 × 87,311.21
  4. Step 4: Simplify right side
    187,203.65x = 24,503,674,991.26
  5. Step 5: Solve for x
    x = 24,503,674,991.26/187,203.65
  6. Step 6: Final answer
    x = 130,893.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.